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Evaluate the following:
9log3(4) \Large 9^{\log_{3}(4)} 9log3(4)
Do not use a calculator -- not even a slide rule!
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log23×log34×log45×⋯×log127128= ? \large \log_2 3 \times \log_3 4 \times \log_4 5 \times \cdots\times \log_{127} 128 = \, ? log23×log34×log45×⋯×log127128=?
True or false:
\quad \quad logx1=0\log_{x}1=0logx1=0 for every x>0x>0x>0.
∑cyclic(a,b,c)(11+logabc)= ? \large \sum_{\text{cyclic}(a,b,c)} \left( \dfrac1{1 + \log_a bc} \right) = \, ? cyclic(a,b,c)∑(1+logabc1)=?
Which of the options is correct about the number log418\log _{ 4 }{ 18 } log418?
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